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This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

Analysis of PDEs · Mathematics 2025-10-03 Yuanchun Ren , Yixian Gao

We analyze the relationship between the bound and the free waves in the noncollinear SHG scheme, along with the vectorial conservation law for the different components arising when there are two pump beams impinging on the sample with two…

Optics · Physics 2015-05-14 M. C. Larciprete , F. A. Bovino , A. Belardini , C. Sibilia , M. Bertolotti

Owing to the discrete frequency spectrum of whispering gallery resonators (WGRs), the resonance and phase-matching conditions for the interacting waves in the case of second-harmonic generation (SHG) cannot generally be fulfilled…

Optics · Physics 2021-04-23 Jan Szabados , Nicolás Amiune , Boris Sturman , Ingo Breunig

Second harmonic generation (SHG), as one of the most significant \c{hi}(2) nonlinear optical processes, plays crucial roles in a broad variety of optical and photonic applications. Designing various delicate schemes to achieve highly…

Optics · Physics 2021-09-01 Lei Wang , XiuQuan Zhang , Feng Chen

Optical second harmonic generation is a second-order nonlinear process that combines two photons of a given frequency into a third photon at twice the frequency. Due to the symmetry constraints, it is widely used as a sensitive probe to…

Recent experiments report that slowly-sheared noncolloidal particle suspensions can exhibit unexpected rate($\omega$)-dependent complex viscosities in oscillatory shear, despite a constant relative viscosity in steady shear. Using a minimal…

Soft Condensed Matter · Physics 2021-06-29 Zhouyang Ge , Raffaella Martone , Luca Brandt , Mario Minale

Electrical tuning of second-order nonlinearity in optical materials is attractive to strengthen and expand the functionalities of nonlinear optical technologies, though its implementation remains elusive. Here, we report the electrically…

Coupling between dynamic strain and magnetization in ferromagnetic thin films has attracted special consideration as it presents both intriguing fundamental physics problems and technological importance for potential multi-functional…

In the present study, we revisit the theme of wave propagation in locally resonant granular crystal systems, also referred to as Mass-in-Mass systems. We use 3 distinct approaches to identify relevant traveling waves. The first consists of…

Pattern Formation and Solitons · Physics 2015-06-23 H. Xu , P. G. Kevrekidis , A. Stefanov

Analytical and numerical modelling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotropic elastic solids, brought into frictional contact by…

Materials Science · Physics 2011-12-26 A. Meziane , A. N. Norris , A. L. Shuvalov

In the current paper we consider an inverse boundary value problem of electromagnetism with nonlinear Second Harmonic Generation (SHG) process. We show the unique determination of the electromagnetic material parameters and the SHG…

Analysis of PDEs · Mathematics 2020-09-10 Yernat Assylbekov , Ting Zhou

Linear gyro-kinetic simulations of the classical tearing mode in three-dimensional toroidal geometry were performed using the global gyro kinetic turbulence code, GKW . The results were benchmarked against a cylindrical ideal MHD and…

Elastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by means of the Lippmann-Schwinger formalism…

Classical Physics · Physics 2022-10-18 Omer Haq , Sergei Shabanov

This study presents an investigation of second harmonic generation (SHG) resulting from interaction of radially polarized laser beam propagating in homogeneous, unmagnetized plasma. Lorentz force and continuity equations have been used to…

Plasma Physics · Physics 2025-09-30 Shivani Aggarwal , Saumya Singh , Dinkar Mishra , Bhupesh Kumar , Pallavi Jha

Beyond the constraints of conservative systems, altering wave propagation frequency emerges as a crucial factor across diverse physical domains. This Letter demonstrates bi-directional asymmetric frequency conversion -- either upward or…

Applied Physics · Physics 2024-08-20 Yeongtae Jang , Beomseok Oh , Eunho Kim , Junsuk Rho

A central mechanism of linearised two dimensional shear instability can be described in terms of a nonlinear, action-at-a-distance, phase-locking resonance between two vorticity waves which propagate counter to their local mean flow as well…

Fluid Dynamics · Physics 2019-10-16 Eyal Heifetz , Anirban Guha

Parametric oscillation is a fundamental concept that underlies nonlinear wave-matter interactions, leading to generation or amplification of new frequency components. Using a temporal modulation generated by the heterodyne interference of a…

Optics · Physics 2020-01-10 Xuexue Guo , Xingjie Ni

To add the detailed information to the existed knowledge of nonlinear optics field, the nonlinear optical processes of the second and third order have been discussed in their respective susceptibility tensors in the presence of degenerate…

Optics · Physics 2018-01-29 A Srinivasa Rao

Layered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the frequency intervals for which shear waves cannot propagate) can be…

Mathematical Physics · Physics 2025-08-22 Harold Berjamin , Stephan Rudykh

Shearing granular materials induces non-affine displacements. Such non-affine displacements have been studied extensively, and are known to correlate with plasticity and other mechanical features of amorphous packings. A well known example…

Soft Condensed Matter · Physics 2020-12-15 Dong Wang , Joshua A. Dijksman , Jonathan Bares , Jie Ren , Hu Zheng